ToDo Calculator’s composite materials and structures calculator is a vital resource for enthusiasts, engineers, and professionals in this field. Tailored for composite material properties, structural mechanics, and design considerations, it offers advanced features and precise calculations. With its user-friendly interface, it accommodates users of all skill levels, making it indispensable for designing composite structures, analyzing their behavior, and optimizing performance in various applications.
Wagner’s theorem predicts composite material stiffness distribution in laminates.The formula is given by: Where: Ec is the effective modulus of elasticity of the composite. Vf is the volume fraction of the fiber (or reinforcing phase). Ef is the modulus of elasticity of the fiber. Vm is the volume fraction of the matrix. Em is the modulus […]
Lamé’s equation predicts composite material deformation under applied stress.The formula is given by: Where: σ is the stress tensor ε₁, ε₂, ε₃ are the principal strains λ and μ are Lamé’s first and second parameters, respectively, which are material constants.
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Composite material’s maximum stress equals sum of principal stresses.The formula is given by: where: σmax is the maximum normal stress that the composite material can withstand before failure. σ1 and σ2 are the principal stresses acting on the composite material.
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Adjusts predicted stiffness to match experimental results in composites.The formula is given by: Where: Eexperiment represents the experimentally determined modulus of elasticity of the composite. Emicromechanical represents the modulus of elasticity predicted by the micromechanical model.
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Material failure based on cohesion, friction, and stress components.The formula is given by: Where: τ is the shear stress on the plane of failure, c is the cohesion intercept (a measure of the material’s shear strength when the normal stress is zero), σ is the normal stress acting on the plane of failure, ϕ is the
Mohr-Coulomb Theory Calculator Read More »
Haigh-Westergaard Stress Space: graphical representation for multiaxial stress states.The formula is given by: where: σH is the Haigh-Westergaard stress, σx is the normal stress in the x-direction, and σy is the normal stress in the y-direction.
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Loading distant from region, stress independent of loading details nearby.The formula is given by: Where: σ is the stress at a distance z from the applied load. σ0 is the stress due to any initial loading or boundary conditions. M is the bending moment at the location of interest. I is the second moment of area
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Predicts fatigue failure in composites under cyclic loading conditions graphically.The formula is given by: Where: Sut is the ultimate tensile strength of the material. Se is the endurance limit of the material (or fatigue strength). σm is the mean stress acting on the material.
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Love’s stress function describes stress distribution in composite materials.The formula is given by: Where: r is the radial distance from the origin, θ is the angular coordinate, A and B are constants determined by the boundary conditions of the specific problem.
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Rayleigh’s Method in composites is a technique used to estimate the effective properties of composite materials based on the properties of individual constituents.The formula is given by: Where: Ec is the effective elastic modulus of the composite material. Vm and Vf are the volume fractions of the matrix and fiber phases, respectively. Em and Ef are
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